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Finding the Third Proportional to 39,277,973.25 and 85,354,714.41

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Solution

The third proportional to 39,277,973.25 and 85,354,714.41 is: 185,483,788.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,277,973.25 : 85,354,714.41 = 85,354,714.41 : x
  2. Step 2: Convert to fraction form
    39,277,973.25/85,354,714.41 = 85,354,714.41/x
  3. Step 3: Cross multiply
    39,277,973.25x = 85,354,714.41 × 85,354,714.41
  4. Step 4: Simplify right side
    39,277,973.25x = 7,285,427,271,372,501
  5. Step 5: Solve for x
    x = 7,285,427,271,372,501/39,277,973.25
  6. Step 6: Final answer
    x = 185,483,788.20

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.